Carly Briggs

Carly Briggs, Ph.D.

Assistant Teaching Professor

Kennedy College of Sciences
Mathematical Sciences
Southwick Hall 303P


Ph.D.: Mathematics (2017), University at Albany - Albany NY
Dissertation/Thesis Title: On Combinatorial Models for Kirillov-Reshetikhin crystals of Type B_n

M.A.: Mathematics (2013), University at Albany - Albany NY 

B.A.: Mathematics (2008), State University of New York at New Paltz - New Paltz, NY


Carly Briggs’ mathematical research in algebraic combinatorics involves using combinatorial objects to encode information about complex structures. In the classroom, she uses collaborative, active learning methods to make mathematics inclusive and accessible. Briggs was first drawn to research in combinatorics because questions are often simply stated but require deep and beautiful mathematics to solve. Her research in algebraic combinatorics utilizes representation theory, a powerful tool for studying group symmetry, which involves encoding information in structures known as Kirillov-Reshetikhin (KR) crystals. Her work provides a way to translate between two models for KR crystals: the powerful but subtle quantum alcove model and the concrete, computation friendly tableaux model. Briggs has taught mathematics at the University at Albany, Sage College of Albay, SUNY Adirondack, and Bennington College. She is dedicated to using active learning methods in the classroom to create an atmosphere of inclusion and collaboration so that students can discover, rather than memorize, mathematical concepts.